I wouldn't read too much into that video clip. The amp is very bright and there is a lot of reverb.

The mothers milk pickups have enamel wire this makes the pickups sound deeper with less highs and upper mids.

The mothers milk pickups won't have the chime and timbre associated with Knofler, Hendrix and chimey SRV. Listen to live Hendrix videos where he is playing a CBS Strat to get an idea of what the pickups will sound like.

Your luthier will be able to check what is on it and replace with the correct wire.
I recently had the bottom 12 frets done on my 1980 st80 by a local guy and it worked out really well.
And re those pickups, have the refret done (if it needs it) before you switch pickups. The amount of fret meat definitely changes the tone.

But you might find all it really needs is a decent fret dress.

Forgot to say - you will find a huge difference between a small valved combo with a ten inch speaker and the same design with a 12. open backed 12 will give you a lot more fatness.

Hello again,
First of all, I bought a new combo - Fender Blues Junior Tweed with Jensen Speaker. The tone is much better and powerful. Guitar and amp sounding very nice together! At this moment I desided to not change those stock pickups.
Then I took my guitar to luthier to refret it without relacquering. He did it perfect. Playing guitar became much more comfortable, less buzzing, sound is amazing, love it.
Some photos of refretting process: https://yadi.sk/d/R_tQmgv6tsWyB